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SageMath
E = EllipticCurve("a1")
E.isogeny_class()
Elliptic curves in class 215985.a
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
215985.a1 | 215985e1 | \([0, -1, 1, -72752016, 9208206124886]\) | \(-198663157590385168384/170764563662560546875\) | \(-36604900781159740422873046875\) | \([]\) | \(266587200\) | \(4.1599\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 215985.a1 has rank \(1\).
Complex multiplication
The elliptic curves in class 215985.a do not have complex multiplication.Modular form 215985.2.a.a
sage: E.q_eigenform(10)